13382096 has 90 divisors (see below), whose sum is σ = 32982822. Its totient is φ = 5241600.

The previous prime is 13382087. The next prime is 13382167. The reversal of 13382096 is 69028331.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 12250000 = 1064^2 + 3500^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132446 + ... + 132546.

Almost surely, 2^13382096 is an apocalyptic number.

13382096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13382096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491411).

13382096 is an abundant number, since it is smaller than the sum of its proper divisors (19600726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13382096 is a wasteful number, since it uses less digits than its factorization.

13382096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13382096 is about 3658.1547260880. The cubic root of 13382096 is about 237.4149412857.

The spelling of 13382096 in words is "thirteen million, three hundred eighty-two thousand, ninety-six".